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Finding the Fourth Proportional to 684,887.64, 944,930.71 and 413,038.68

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Solution

The fourth proportional to 684,887.64, 944,930.71 and 413,038.68 is: 569,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,887.64 : 944,930.71 = 413,038.68 : x
  2. Step 2: Convert to fraction form
    684,887.64/944,930.71 = 413,038.68/x
  3. Step 3: Cross multiply
    684,887.64x = 944,930.71 × 413,038.68
  4. Step 4: Simplify right side
    684,887.64x = 390,292,933,149.86
  5. Step 5: Solve for x
    x = 390,292,933,149.86/684,887.64
  6. Step 6: Final answer
    x = 569,864.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.